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Finding the Fourth Proportional to 7,680.96, 11,532.96 and 7,542.72

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Solution

The fourth proportional to 7,680.96, 11,532.96 and 7,542.72 is: 11,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.96 : 11,532.96 = 7,542.72 : x
  2. Step 2: Convert to fraction form
    7,680.96/11,532.96 = 7,542.72/x
  3. Step 3: Cross multiply
    7,680.96x = 11,532.96 × 7,542.72
  4. Step 4: Simplify right side
    7,680.96x = 86,989,888.05
  5. Step 5: Solve for x
    x = 86,989,888.05/7,680.96
  6. Step 6: Final answer
    x = 11,325.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.